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Finding the Fourth Proportional to 20,566, 30,854.44 and 11,804

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Solution

The fourth proportional to 20,566, 30,854.44 and 11,804 is: 17,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566 : 30,854.44 = 11,804 : x
  2. Step 2: Convert to fraction form
    20,566/30,854.44 = 11,804/x
  3. Step 3: Cross multiply
    20,566x = 30,854.44 × 11,804
  4. Step 4: Simplify right side
    20,566x = 364,205,809.76
  5. Step 5: Solve for x
    x = 364,205,809.76/20,566
  6. Step 6: Final answer
    x = 17,709.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.